Solvability of nonlinear elliptic boundary value problem via its associated linear problem

doi:10.1016/jmaa.2003.08.009

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	Solvability of nonlinear elliptic boundary value problem via its associated linear problem
	Han, ZQ
	2004-02-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	290 期号:1 页码:21-34
摘要	We investigate the existence of solutions of a nonlinear elliptic boundary value problem at resonance. Under the condition that the associated linear boundary value problem has no sign-changing solution or nontrivial solution and some other additional conditions, we prove the existence of solutions or nontrivial (even multiple) solutions to the nonlinear problem. Thus the existence of solutions can be obtained when the nonlinearity may cross any finite number of eigenvalues of the linear problem. (C) 2003 Elsevier Inc. All rights reserved.
关键词	elliptic boundary value problem eigenvalue Leray-Schauder principle
DOI	10.1016/jmaa.2003.08.009
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000188777500003
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/600
专题	中国科学院数学与系统科学研究院
通讯作者	Han, ZQ
作者单位	1.Dalian Univ Technol, Dept Appl Math, Dalian 116023, Liaoning, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Han, ZQ. Solvability of nonlinear elliptic boundary value problem via its associated linear problem[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2004,290(1):21-34.
APA	Han, ZQ.(2004).Solvability of nonlinear elliptic boundary value problem via its associated linear problem.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,290(1),21-34.
MLA	Han, ZQ."Solvability of nonlinear elliptic boundary value problem via its associated linear problem".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 290.1(2004):21-34.